According to the U.S. Census, the proportion of adults in a certain county who owned their own home was 0.71. An SRS of 100 adults in a certain section of the county found that 65 owned their home. Which one of the following represents the approximate probability of obtaining a sample of 100 adults in which fewer than 65 own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?

(a) a 100 65 b (0.71)65(0.29)35

(d) P °

Z <

0.65 − 0.71

Å

(0.65)(0.35)

100

¢

(b) a 100 65 b (0.29)65(0.71)35

(e) P °

Z <

0.65 − 0.71

(0.71)(0.29)

!100

¢

(c) P °

Z <

0.65 − 0.71

Å

(0.71)(0.29)

100

¢